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一类不确定Lurie时滞奇异系统的鲁棒H[[infinity]]滤波
作者姓名:LU Ren-Quan  WANG Jun-Hong  XUE An-Ke  SU Hong-Ye  CHU Jian
作者单位:1.Institute of Information & Control, Hangzhou Dianzi University, Hangzhou 310018 P. R. China
基金项目:Supported by National Young Science Foundation of P. r. China (60604003), National Natural Science Key Foundation of P. R. China (60434020), National Key Technologies Research and Development Program in the 10th Five-yearPlan (2001BA204B0.1)
摘    要:This paper deals with the problem of the robust H1 filtering for a class of Lurie singular systems with state time-delays, parameter uncertainties and unknown statistics characteristics but with limited power disturbance, aiming to design a robustly stable filter such that the uncertain Lurie time-delay singular systems are not only regular, impulse free and stable, but also have a prescribed level of Hinfinity]] performance for the filtering error dynamics for all admissible uncertainties. A sufficient condition for the existence of such a filter is proposed in terms of linear matrix inequalities (LMIs). When a solution to this set of LMIs exists, the parametric matrices of a desired filter can be easily obtained using LMI toolbox.

关 键 词:Lurie  singular  system    robust  H[[infinity]]  filtering    linear  matrix  inequality  (LMI)
收稿时间:2005-09-14
修稿时间:2005年9月14日

Robust H[[infinity]] Filtering for a Class of Uncertain Lurie Time-delay Singular Systems
LU Ren-Quan,WANG Jun-Hong,XUE An-Ke,SU Hong-Ye,CHU Jian.Robust H[[infinity]] Filtering for a Class of Uncertain Lurie Time-delay Singular Systems[J].Acta Automatica Sinica,2007,33(3):292-296.
Authors:LU Ren-Quan  WANG Jun-Hong  XUE An-Ke  SU Hong-Ye  CHU Jian
Affiliation:1.Institute of Information &Control, Hangzhou Dianzi University, Hangzhou 310018 P. R. China 2. National Laboratory of Industrial Control Technology, Institute of Advanced Process Control, Zhejiang University, Hangzhou 310027 P. R. China
Abstract:This paper deals with the problem of the robust H1 filtering for a class of Lurie singular systems with state time-delays, parameter uncertainties and unknown statistics characteristics but with limited power disturbance, aiming to design a robustly stable filter such that the uncertain Lurie time-delay singular systems are not only regular, impulse free and stable, but also have a prescribed level of Hinfinity]] performance for the filtering error dynamics for all admissible uncertainties. A sufficient condition for the existence of such a filter is proposed in terms of linear matrix inequalities (LMIs). When a solution to this set of LMIs exists, the parametric matrices of a desired filter can be easily obtained using LMI toolbox.
Keywords:Lurie singular system  robust H[[infinity]] filtering  linear matrix inequality (LMI)
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